What is the Least Common Multiple of 11881 and 11901?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 11881 and 11901 is 141395781.
LCM(11881,11901) = 141395781
Least Common Multiple of 11881 and 11901 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11881 and 11901, than apply into the LCM equation.
GCF(11881,11901) = 1
LCM(11881,11901) = ( 11881 × 11901) / 1
LCM(11881,11901) = 141395781 / 1
LCM(11881,11901) = 141395781
Least Common Multiple (LCM) of 11881 and 11901 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11881 and 11901. First we will calculate the prime factors of 11881 and 11901.
Prime Factorization of 11881
Prime factors of 11881 are 109. Prime factorization of 11881 in exponential form is:
11881 = 1092
Prime Factorization of 11901
Prime factors of 11901 are 3, 3967. Prime factorization of 11901 in exponential form is:
11901 = 31 × 39671
Now multiplying the highest exponent prime factors to calculate the LCM of 11881 and 11901.
LCM(11881,11901) = 1092 × 31 × 39671
LCM(11881,11901) = 141395781
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